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Finding the Fourth Proportional to 11,672, 16,101.80 and 7,896.48

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Solution

The fourth proportional to 11,672, 16,101.80 and 7,896.48 is: 10,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672 : 16,101.80 = 7,896.48 : x
  2. Step 2: Convert to fraction form
    11,672/16,101.80 = 7,896.48/x
  3. Step 3: Cross multiply
    11,672x = 16,101.80 × 7,896.48
  4. Step 4: Simplify right side
    11,672x = 127,147,541.66
  5. Step 5: Solve for x
    x = 127,147,541.66/11,672
  6. Step 6: Final answer
    x = 10,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.